Problem #1: Using the fact that y1​(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0,

[answerhappygod]

Problem 1 Using The Fact That Y1 X Ex Is Solution Of The Second Order Linear Homogeneous De 9 8x Y 8y 1 8x Y 0 1 (59.83 KiB) Viewed 23 times

Problem #1: Using the fact that y1​(x)=ex is solution of the second order linear homogeneous DE (9+8x)y′′−8y′−(1+8x)y=0, find a second linearly independent solution y2​(x) using the method of reduction of order (Do NOT enter y2​(x) a part of your answer) and then find the unique solution of the above DE satisfying the initial conditions y(0)=−22,y′(0)=14 Enter your answer as a symbolic function of x, as in these not include ' y(x)= ' in your answer. Problem #1: ∣ examples Problem #2: Use the method of variation of parameters to find a particular solution to the following differential equation y′′+100y=csc10x, for 0<x<10π​ Problem #2: Enter your answer as a symbolic function of x, as in these Do not include ' y= ' in your answer. examples